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Proof step 53 from proof CSPAWN-sat-rely-guar-ind (previous step)

n ≠ 0, RG-restr (n, λ n, act, cs, act0, cs0. CRely(m0 + 1, act, cs, act0, cs0) ∧ (CInv(n, act, cs) → CInv(n, act0, cs0)), λ n, act, cs, act0, cs0. CGuar(m0 + 1, act, cs, act0, cs0) ∧ (CInv(n, act, cs) → CInv(n, act0, cs0)), λ n, act, cs. CInit(m0 + 1, act, cs) ∧ CInv(n, act, cs), λ n, act, cs, act0, cs0. CInv(n, act0, cs0), CInv, λ n, act, cs, act0, cs0. CRelyto(m0, act, cs, act0, cs0) ∧ (CInv(n, act, cs) → CInv(n, act0, cs0)), λ n, act, cs, act0, cs0. CGuarto(m0, act, cs, act0, cs0) ∧ (CInv(n, act, cs) → CInv(n, act0, cs0)), λ n, act, cs. CInitto(m0, act, cs) ∧ CInv(n, act, cs), λ n, act, cs, act0, cs0. CInv(n, act0, cs0)), m0 < n, CGuarto(m0, Act, CS, Act', CS'), ¬ CGuarto(m0 + 1, Act, CS, Act', CS'), CInv(n, Act, CS) → CInv(n, Act', CS') ⊦ last

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: CSPAWN+Preds inst: name: CGuarto-def seq: ⊦ CGuarto(m, act, cs, act0, cs0) ↔ (∃ m0. m0 ≤ m ∧ CGuar(m0, act, cs, act0, cs0)) subst: [cs0, act0, cs, act, m] → [CS', Act', CS, Act, m0 + 1] flags: rewrite

Additional information

Used terms: CS', Act', CS, Act, m0 + 1